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It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given by
- a)Tc21 - Tc2/Th1 - Tc2
- b)Th2 - Th1/Tc2 - Th1
- c)Th1 - Th2 /Tc2 - Tc1
- d)Tc2 - Tc1/Tc1 - Tc1
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
It is given that for a heat exchangerTc1 and Tc2 are the temperature...
Effectiveness, ε = Qact/Qmax
Qact = mhcph(Th1 - Th2) = mccpc (Tc2 - Tc1)
Qmax = (mcp)small(Th1 - Tc1)
Here (mcp)c < />p )h
∴ ε (mcp)c (Tc2 - Tc1)/(mcp)c(Th1 - Th2)
⇒ ε = (Tc2 - Tc1)/(Th1 - Tc1)
Most Upvoted Answer
It is given that for a heat exchangerTc1 and Tc2 are the temperature...
Explanation:
The effectiveness of the heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer. It is denoted by the Greek letter ε.
ε = (Qactual / Qmax)
where Qactual is the actual heat transfer and Qmax is the maximum possible heat transfer.
The maximum possible heat transfer can be calculated by using the formula:
Qmax = mCp (Th1 - Tc1)
where m is the mass flow rate of the fluid, Cp is the specific heat of the fluid, Th1 is the inlet temperature of the hot fluid and Tc1 is the inlet temperature of the cold fluid.
The actual heat transfer can be calculated by using the formula:
Qactual = mCp (Th1 - Th2) = mCp (Tc2 - Tc1)
where Th2 is the outlet temperature of the hot fluid and Tc2 is the outlet temperature of the cold fluid.
Substituting the values of Qmax and Qactual in the expression for ε, we get:
ε = (Tc2 - Tc1) / (Th1 - Tc1)
Simplifying the above equation, we get:
ε = (Tc2 - Tc1) / (Th1 - Tc1) = (Tc2 - Tc1) / (Th1 - Th2)
Now, if the cold fluid has lower heat capacity rate as compared to hot fluid, then the hot fluid will transfer more heat to the cold fluid. This implies that Th1 > Tc1 and Th2 > Tc2.
Therefore, the correct expression for the effectiveness of the heat exchanger is:
ε = (Tc2 - Tc1) / (Th1 - Th2)
which is equivalent to option 'D': Tc2 - Tc1 / Tc1 - Th1
The effectiveness of the heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer. It is denoted by the Greek letter ε.
ε = (Qactual / Qmax)
where Qactual is the actual heat transfer and Qmax is the maximum possible heat transfer.
The maximum possible heat transfer can be calculated by using the formula:
Qmax = mCp (Th1 - Tc1)
where m is the mass flow rate of the fluid, Cp is the specific heat of the fluid, Th1 is the inlet temperature of the hot fluid and Tc1 is the inlet temperature of the cold fluid.
The actual heat transfer can be calculated by using the formula:
Qactual = mCp (Th1 - Th2) = mCp (Tc2 - Tc1)
where Th2 is the outlet temperature of the hot fluid and Tc2 is the outlet temperature of the cold fluid.
Substituting the values of Qmax and Qactual in the expression for ε, we get:
ε = (Tc2 - Tc1) / (Th1 - Tc1)
Simplifying the above equation, we get:
ε = (Tc2 - Tc1) / (Th1 - Tc1) = (Tc2 - Tc1) / (Th1 - Th2)
Now, if the cold fluid has lower heat capacity rate as compared to hot fluid, then the hot fluid will transfer more heat to the cold fluid. This implies that Th1 > Tc1 and Th2 > Tc2.
Therefore, the correct expression for the effectiveness of the heat exchanger is:
ε = (Tc2 - Tc1) / (Th1 - Th2)
which is equivalent to option 'D': Tc2 - Tc1 / Tc1 - Th1
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It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer?
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It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer?.
It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for It is given that for a heat exchangerTc1 and Tc2 are the temperatures of cold fluid at entry and exit respectively and are the temperatures of hot fluid at entry and exit point. If cold fluid has lower heat capacity rate as compared to hot fluid then effectiveness of the heat exchanger is given bya) Tc21 - Tc2/Th1 - Tc2b) Th2 - Th1/Tc2 - Th1c) Th1 - Th2 /Tc2 - Tc1d) Tc2 - Tc1/Tc1 - Tc1Correct answer is option 'D'. Can you explain this answer?.
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